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Finding the Third Proportional to 76,680 and 117,816

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Solution

The third proportional to 76,680 and 117,816 is: 181,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,680 : 117,816 = 117,816 : x
  2. Step 2: Convert to fraction form
    76,680/117,816 = 117,816/x
  3. Step 3: Cross multiply
    76,680x = 117,816 × 117,816
  4. Step 4: Simplify right side
    76,680x = 13,880,609,856
  5. Step 5: Solve for x
    x = 13,880,609,856/76,680
  6. Step 6: Final answer
    x = 181,019.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.